Absolutely linear relations (Short Communication).
Abstract separation theorems of Rodé type and their applications
Sufficient and necessary conditions are presented under which two given functions can be separated by a function Π-affine in Rodé sense (resp. Π-convex, Π-concave). As special cases several old and new separation theorems are obtained.
Accuracy of Several Multidimensional Refinable Distributions.
Aczél's Uniqueness Theorem and Cellular Internity.
Aczél's Uniqueness theorem and Cellular Internity. (Short Communication).
Addition Formulae for Field-Valued Continuous Functions on Topological Groups.
Addition theorems and related geometric problems of group representation theory
The Levi-Civita functional equation (g,h ∈ G), for scalar functions on a topological semigroup G, has as the solutions the functions which have finite-dimensional orbits in the right regular representation of G, that is the matrix elements of G. In considerations of some extensions of the L-C equation one encounters with other geometric problems, for example: 1) which vectors x of the space X of a representation have orbits O(x) that are “close” to a fixed finite-dimensional subspace? 2) for...
Additive and convex functions in linear topological space.
Additive and subadditive entropies for discrete n-dimensional random vectors.
Additive f-bimorphisms and Cosine Type Equations
Additive functional inequalities in Banach modules.
Additive functions modulo a countable subgroup of ℝ
We solve the mod G Cauchy functional equation f(x+y) = f(x) + f(y) (mod G), where G is a countable subgroup of ℝ and f:ℝ → ℝ is Borel measurable. We show that the only solutions are functions linear mod G.
Additive selections of superadditive set-valued functions.
Affine and convex functions with respect to the logarithmic mean
The class of all functions f:(0,∞) → (0,∞) which are continuous at least at one point and affine with respect to the logarithmic mean is determined. Some related results concerning the functions convex with respect to the logarithmic mean are presented.
Affine selections of convex set-valued functions.
Algebraic and essentially algebraic composition operators on C(X).
Algebraic and topological structures on the set of mean functions and generalization of the AGM mean
We present new structures and results on the set of mean functions on a given symmetric domain in ℝ². First, we construct on a structure of abelian group in which the neutral element is the arithmetic mean; then we study some symmetries in that group. Next, we construct on a structure of metric space under which is the closed ball with center the arithmetic mean and radius 1/2. We show in particular that the geometric and harmonic means lie on the boundary of . Finally, we give two theorems...
All General Solutions of Finite Equations
Almost approximately convex functions
Almost iterable functions.